Page 50 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Additional Mathematics SPM Model Paper
7. (a) Solve the equation of 6 tan q + 13 sec q = 2 for 0° < q < 360°. [3 marks]
2
1
(b) Diagram 7 shows the graph of y = a sin x + c, such as a and b are positive integers and c is an integer
b
for 0 < x < 4π.
y
1
y = a sin— x + c
1 b
x
0 π 2π 3π 4π
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–2

–5

Diagram 7
Given the graph that passed through point (0, –2) has maximum point at (π, 1) and minimum point
at (3π, –5).
(i) Find the values of a, b and c.
1
(ii) Sketch the graph of y = | a sin x + c| for 0 < x < 4π. [5 marks]
b Section B

SPM MODEL PAPER 8. Table 8 shows the values for two variables, x and y, obtained from an experiment. The variable x and y are
(30 marks)
Instruction: Answer any three questions only

n
related by the equation y = ax , such as a and n are constants.
y
x

1.2 1.5

1.6 1.8

2.5 2.6

4.0 3.6

6.3 5.0

8.0 5.8

Table 8
(a) Plot log y against log x, by using the scale of 2 cm for 0.1 unit on both axes. Hence, sketch a best line
10
10
of fit. [5 marks]
(b) Based on the graph at 8(a), find the value of
(i) a,
(ii) n. [5 marks]

430

Model Paper Spotlight Add Math F5.indd 430 20/04/2021 10:37 AM